Finding the Fourth Proportional to 1,349.38, 1,861.34 and 824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,349.38 : 1,861.34 = 824.50 : x
2. Step 2: Convert to fraction form
   1,349.38/1,861.34 = 824.50/x
3. Step 3: Cross multiply
   1,349.38x = 1,861.34 × 824.50
4. Step 4: Simplify right side
   1,349.38x = 1,534,676.89
5. Step 5: Solve for x
   x = 1,534,676.89/1,349.38
6. Step 6: Final answer
   x = 1,137.32